Ultimate Bounds and Robust Invariant Sets for Linear Systems with State-Dependent Disturbances

DOI10.1007/978-3-319-26687-9_16zbMath1334.93078OpenAlexW2395209859MaRDI QIDQ2798570

Vasso Reppa, Sorin Olaru

Publication date: 13 April 2016

Published in: Developments in Model-Based Optimization and Control (Search for Journal in Brave)

Full work available at URL: https://hal-centralesupelec.archives-ouvertes.fr/hal-01260190/file/Chapter_10_Olaru_Reppa_v6.pdf

zbMATH Keywords

invariant setsultimate boundsstate dependent disturbances

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05)

Cites Work

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• Positive invariant sets for fault tolerant multisensor control schemes
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• Positively invariant polyhedral sets of discrete-time linear systems
• On ultimate boundedness control of uncertain systems in the absence of matching assumptions
• On the Efficacy of Nonlinear Control in Uncertain Linear Systems
• The propagation of parametric uncertainty via polytopes
• On positively invariant sets for discrete-time linear systems with disturbance: an application of maximal disturbance sets
• Invariant approximations of the minimal robust positively Invariant set
• Viability theory

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